Jack’s mom gave him 50 chocolates. At Jack’s party, he gave each of his friends 6 chocolates. Unfortunately Jack was 4 pieces short, and one friend only got 2 pieces of chocolate. How many people were at Jack’s Party?

9 friends

Step-by-step explanation:

since The total is 50.

and each friend was given 6 then the ratio of friend to chocolate is 1:6 .

but one friend received 2.

hance there's two possible ways of solving

one by subtract two and latter adding the friend who did not receive

x=1/6(50-2)

x=1/6(48)

x=8 ; note one did not receive 6.

therefore James had 9 friends.

or better still you could add 4 to the total (which means all received equally)

x=1/6(50+4)

x=1/6(54)

x=9

0.85 or 85%

step-by-step explanation:

1) divide 23 by 27

2) round the decimal to the nearest 10

3) so your answer would be 0.85 or 85%

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3